Answer:
x ≈ 34.88 square cm
Step-by-step explanation:
Solve by proportional formula:
Area of a sector/area of circle* = sector central arc measure/360
*area of a circle = πr²
x/(53.29π) = 75/360
x/53.29π = 0.2083
x = 11.1020833π
x = 34.8782233
x ≈ 34.88 square cm
Let:
x = first consecutive integer (or first side of △)
x + 1 = second consecutive integer (or second side of △)
x + 2 = third consecutive integer (or third side of △)
The formula for a perimeter of △ is simply the addition of three sides (or length). Since the given perimeter is 114 cm,
x + x+1 + x+2 = 114
3x + 3 = 114
3x = 114 - 3
3x = 111
x = 111 /3 = 37 cm
The three sides are 37 cm, 38 cm, and 39 cm.
The required fraction of the tissue she cut is 3 /8, and the percentage is 37.5%.
Given that,
Monique has 3/4 of tissues. she cuts half of those tissues
<h3>What is the fraction?</h3>
Fraction is defined as the number of compositions that constitute the Whole.
Here,
Let the number of tissue be x,
She has 3 / 4 of the tissues = 3 / 4 x
she cuts half of those tissues = 1 / 2 * 3 / 4 * x
= 3/8x or 37.5% of x
Thus, the required fraction of the tissue she cut is 3 /8, and the percentage is 37.5%.
Learn more about fractions here:
brainly.com/question/10708469
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